How do i format the drive properly so i can install mint. Drive is a 128 Samsung SSD. It keeps crashing as i try to install it. I think the problem is there is 0 room for it to install. Best way to format the drive? I dont care about windows on this PC as ive since upgraded. Any help appreciated.

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I am using Mint 19 Cinnamon 64 bit with AMD A8/7410 processor . Memory 8GB

You don't say exactly what you mean by 'crash', but it seems that the main problem with installing Linux on a Sony Vaio Pro 13 is that Sony do something non-standard wrt EFI file locations. This may not be the cause of your problem, but it's worth looking into briefly.

The following worked for me recently when I wiped my SSD and reinstalled a new distro (Ubuntu Mate 17.10, but something very similar should apply for Mint also). Basically, when it failed to boot from the SSD, I booted from the Ubuntu installation USB key and copied/moved some file in the EFI partition (/dev/sda1 in my case - yours might be different). Note that I only run Linux, not dual-boot - I dunno if dual-boot requires anything different.

So the path where I want to put the shim (see https://askubuntu.com/a/342382) in the last command below is \EFI\Microsoft\Boot\bootmgfw.efi.
I also needed to copy the contents of the ubuntu directory as shimx64.efi complained about not being able to find files if I only did the last command.